ABU TORAB’S TREATISE ON TRISECTION OF ANGLES

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DOOSTGHARIN FATEMEH

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ISSN: 2588-4824

Journal Paper

Paper Information

Journal: TARIKH-E ELM Year:2009 | Volume:- | Issue:8 Page(s): 1-30

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Title

ABU TORAB’S TREATISE ON TRISECTION OF ANGLES

Author(s)

DOOSTGHARIN FATEMEH | Issue Writer Certificate

Keywords

ANGLE TRISECTION

SINE OF ONE DEGREE

MIRZA ABU TORAB

QAJARID ERA

Abstract

Trisection of an angle is one of the famous problems in the history of mathematics. The impossibility of trisecting an angle with a straightedge and compasses was known. Therefore finding an accurate approximation of irrational quantity of the Sine of degree- which was important for setting up sine tables in Zijes, and also for astronomical calculations- is very difficult. So, many scientists devoted their attempts to find a solution to this problem. MIRZA ABU TORAB Natanzi, a scholar of the QAJARID ERA, in a Persian treatise entitled Dar ma‘rifat-i watar-i thulth-i qaws-i ma‘lumat al-watar (on the knowledge of the chord of one-third of an arc with a known chord), presented a geometrical method for trisecting an angle which turns out to be mathematically equivalent to the algebraic method of Jamshid Kashani (al-Kashi) for finding the SINE OF ONE DEGREE. Surveying different approximate methods of trisecting an angle in ancient Greek and Islamic periods, this paper presents a critical edition and a commentary of MIRZA ABU TORAB’s treatise.

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APA: Copy

DOOSTGHARIN, FATEMEH. (2009). ABU TORAB’S TREATISE ON TRISECTION OF ANGLES. TARIKH-E ELM, -(8), 1-30. SID. https://sid.ir/paper/567973/en

Vancouver: Copy

DOOSTGHARIN FATEMEH. ABU TORAB’S TREATISE ON TRISECTION OF ANGLES. TARIKH-E ELM[Internet]. 2009;-(8):1-30. Available from: https://sid.ir/paper/567973/en

IEEE: Copy

FATEMEH DOOSTGHARIN, “ABU TORAB’S TREATISE ON TRISECTION OF ANGLES,” TARIKH-E ELM, vol. -, no. 8, pp. 1–30, 2009, [Online]. Available: https://sid.ir/paper/567973/en

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